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Calculation of partition function by the method of coherent states

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Abstract

The method of coherent states on Lie groups in the case of a three-particle interaction Hamiltonian is used to derive a differential equation that determines the matrix elements of the canonical statistical operator taken between coherent states. An example for which this equation can be solved in a closed form is given. The temperature dependence of the partition function of a pair of fermions interacting with an oscillator is obtained explicitly.

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Literature cited

  1. A. M. Perelomov, Commun. Math. Phys.,26, 222 (1972).

    Google Scholar 

  2. A. M. Perelomov, Teor. Mat. Fiz., 6, 213 (1971).

    Google Scholar 

  3. N. Ya. Vilenkin, Mat. Sb.,75(117), 432 (1968).

    Google Scholar 

  4. D. P. Zhelobenko, Compact Lie Groups and Their Representations [in Russian], Nauka (1970).

  5. A. A. Kirillov, Elements of the Theory of Representations [in Russian], Nauka (1972).

  6. C. Schweber, J. Math. Phys.,3, 831 (1962).

    Google Scholar 

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Authors and Affiliations

  1. M. I. Kalinin Leningrad Polytechnic Institute, USSR

    L. F. Novikov

Authors
  1. L. F. Novikov
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 64–69, October, 1976.

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Novikov, L.F. Calculation of partition function by the method of coherent states. Soviet Physics Journal 19, 1293–1298 (1976). https://doi.org/10.1007/BF00891197

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  • DOI: https://doi.org/10.1007/BF00891197

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